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A223484 Rolling icosahedron face footprints: number of 6Xn 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal or antidiagonal neighbor moves across an icosahedral edge 1
3200000, 177147, 6834375, 263671875, 12755926575, 622332801675, 31621425535575, 1608341612382675, 82456836767805375, 4227484231555443675, 217015136003889260775, 11140133589863412595875, 571949483621302897613775 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A223480

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 65*a(n-1) -392*a(n-2) -21060*a(n-3) +271696*a(n-4) -61920*a(n-5) -12301824*a(n-6) +41001664*a(n-7) +141738752*a(n-8) -796132352*a(n-9) -244873216*a(n-10) +5515101184*a(n-11) -3510669312*a(n-12) -15177555968*a(n-13) +15458697216*a(n-14) +13446168576*a(n-15) -14442954752*a(n-16) -4507631616*a(n-17) +3989831680*a(n-18) +252706816*a(n-19) -251658240*a(n-20) for n>25

EXAMPLE

Some solutions for n=3

..0..5..0....0..5..0....0..5..0....0..5..0....0..5..0....0..5..0....0..5..0

..0..1..0....0..1..0....0..1..0....0..1..4....0..1..4....0..1..0....0..1..4

..0..1..4....6..1..0....6..1..4....4.17..4....4..1..4....4..1..6....0..1..4

..4..1..0....0..5..9....4..1..0...10.17.10....4.17.18....0..1..4....0..1..0

..0..1..4....9..5..0....4..1..6....4.17.10...18.16.18....4.17.10....0..1..4

..0..1..4....0..2..3....6..7..5....4.17.10...18.17..4...10.12.10....4..3.16

Face neighbors:

0 -> 1 2 5

1 -> 0 4 6

2 -> 0 3 8

3 -> 2 4 16

4 -> 3 1 17

5 -> 0 7 9

6 -> 1 7 10

7 -> 6 5 11

8 -> 2 9 13

9 -> 8 5 14

10 -> 6 12 17

11 -> 7 12 14

12 -> 11 10 19

13 -> 8 15 16

14 -> 9 11 15

15 -> 14 13 19

16 -> 3 13 18

17 -> 4 10 18

18 -> 16 17 19

19 -> 15 18 12

CROSSREFS

Sequence in context: A234689 A232619 A223287 * A029820 A146976 A251529

Adjacent sequences:  A223481 A223482 A223483 * A223485 A223486 A223487

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 20 2013

STATUS

approved

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Last modified September 20 10:51 EDT 2021. Contains 347584 sequences. (Running on oeis4.)